Trajectory of the turning point is dense for a co-σ-porous set of tent maps

Volume 165 / 2000

Karen Brucks, Zoltán Buczolich Fundamenta Mathematicae 165 (2000), 95-123 DOI: 10.4064/fm-165-2-95-123


It is known that for almost every (with respect to Lebesgue measure) a ∈ [√2,2] the forward trajectory of the turning point of the tent map $T_a$ with slope a is dense in the interval of transitivity of $T_a$. We prove that the complement of this set of parameters of full measure is σ-porous.


  • Karen Brucks
  • Zoltán Buczolich

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